[HTML][HTML] Unit gain graphs with two distinct eigenvalues and systems of lines in complex space

P Wissing, ER van Dam - Discrete Mathematics, 2022 - Elsevier
Since the introduction of the Hermitian adjacency matrix for digraphs, interest in so-called
complex unit gain graphs has surged. In this work, we consider gain graphs whose spectra …

Nearly all subspaces of a classical polar space arise from its universal embedding

I Cardinali, L Giuzzi, A Pasini - Linear Algebra and its Applications, 2021 - Elsevier
Let Γ be an embeddable non-degenerate polar space of finite rank n≥ 2. Assuming that Γ
admits the universal embedding (which is true for all embeddable polar spaces except grids …

[PDF][PDF] A new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matrices.

MH Klin, C Pech - Ars Math. Contemp., 2011 - researchgate.net
New constructions of regular antipodal covers (in the sense of Godsil-Hensel) of complete
graphs Kn are presented. The main source of these constructions are skew generalized …

Embeddings of small generalized polygons

JA Thas, H Van Maldeghem - Finite Fields and Their Applications, 2006 - Elsevier
In this paper we consider some finite generalized polygons, defined over a field with
characteristic 2, which admit an embedding in a projective or affine space over a field with …

Diagram geometry

F Buekenhout, AM Cohen - to appear, 1990 - toc.library.ethz.ch
Diagram Geometry Page 1 Francis Buekenhout • Arjeh M. Cohen Diagram Geometry
Related to Classical Groups and Buildings ^ Springer Page 2 Contents 1 Geometries 1 1.1 …

[PDF][PDF] Slim and bislim geometries

H Van Maldeghem - Topics in diagram geometry, 2003 - cage.ugent.be
Preliminary note. In this paper, we try to tell a coherent story without interruptions due to
formal definitions. If not mentioned in the text, these will be placed in separate boxes usually …

The geometry of some two-character sets

A Cossidente, N Durante, G Marino, T Penttila… - Designs, Codes and …, 2008 - Springer
A projective (n, d, w 1, w 2) q set (or a two-character set for short) is a set S of n points of PG
(d− 1, q) with the properties that the set generates PG (d− 1, q) and that every hyperplane …

Embeddings of line-Grassmannians of polar spaces in Grassmann varieties

I Cardinali, A Pasini - Groups of exceptional type, Coxeter groups and …, 2014 - Springer
An embedding of a point-line geometry\varGamma is usually defined as an injective
map** ε from the point-set of\varGamma to the set of points of a projective space such that …

Polarized and homogeneous embeddings of dual polar spaces

RJ Blok, I Cardinali, B De Bruyn, A Pasini - Journal of Algebraic …, 2009 - Springer
Polarized and homogeneous embeddings of dual polar spaces Page 1 J Algebr Comb (2009)
30: 381–399 DOI 10.1007/s10801-008-0166-8 Polarized and homogeneous embeddings of …

Lax projective embeddings of polar spaces

EF Dentice, G Marino, A Pasini - Milan Journal of Mathematics, 2004 - Springer
Let Γ be a non-degenerate polar space of rank n≥ 3 where all of its lines have at least three
points. We prove that, if Γ admits a lax embedding e: Γ→ Σ in a projective space Σ defined …